Meteorologists study the climate of Texas. Using the data from the website ("http://www.usclimatedata.com") they estimate the average precipitation in inches for three cities: Austin, Houston and San Antonio. Using a multiple comparison procedure the meteorologists identify the differences between the average precipitation level, in inches per month, for the considered three cities, and construct the Tukey-Kramer confidence interval for 95% Studentized range critical value. 
Help the meteorologists to draw a correct conclusion about the differences between the average precipitation levels in these cities.
Definitions:
Political Rationale
The reasoning or logic behind political actions or policies, often considered in terms of strategic advantages or goals.
Analytic Rationale
The logical reasoning or analysis used to understand or justify decisions, policies, or strategies, often involving systematic examination of data or facts.
Liberal Rationale
Reasoning based on principles emphasizing freedom, democracy, and the importance of individual rights.
Eclectic Approach
A method that draws from multiple theories, styles, or ideas to create a comprehensive solution or understanding.
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